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Finding the Fourth Proportional to 715,705.82, 987,676.08 and 409,786.91

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Solution

The fourth proportional to 715,705.82, 987,676.08 and 409,786.91 is: 565,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,705.82 : 987,676.08 = 409,786.91 : x
  2. Step 2: Convert to fraction form
    715,705.82/987,676.08 = 409,786.91/x
  3. Step 3: Cross multiply
    715,705.82x = 987,676.08 × 409,786.91
  4. Step 4: Simplify right side
    715,705.82x = 404,736,723,965.73
  5. Step 5: Solve for x
    x = 404,736,723,965.73/715,705.82
  6. Step 6: Final answer
    x = 565,507.11

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.